531307 has 8 divisors (see below), whose sum is σ = 620000. Its totient is φ = 455112.

The previous prime is 531299. The next prime is 531331. The reversal of 531307 is 703135.

531307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 531307 - 2³ = 531299 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (531337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432 + ... + 1117.

It is an arithmetic number, because the mean of its divisors is an integer number (77500).

2⁵³¹³⁰⁷ is an apocalyptic number.

531307 is a deficient number, since it is larger than the sum of its proper divisors (88693).

531307 is an equidigital number, since it uses as much as digits as its factorization.

531307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 531307 is about 728.9080874843. The cubic root of 531307 is about 80.9931915224.

It can be divided in two parts, 531 and 307, that added together give a palindrome (838).

The spelling of 531307 in words is "five hundred thirty-one thousand, three hundred seven".